Answer:
Step-by-step explanation:
The vertex of an inscribed angle can be anywhere on the circle as long as its sides intersect the circle to form an intercepted arc. The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Inscribed angles that intercept the same arc are congruent.
In a circle, two inscribed angles with the same intercepted arc are congruent. Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.
Answer:
The probability of getting two numbers whose sum is 10 is 25%.
Step-by-step explanation:
Given that a single die is rolled twice, and there are 36 equally-likely outcomes, to find the probability of getting two numbers whose sum is 10 the following calculation must be performed:
1 = +9
2 = +8
3 = +7
4 = +6
5 = +5
6 = +4
7 = +3
8 = +2
9 = +1
9/36 = 0.25
Therefore, the probability of getting two numbers whose sum is 10 is 25%.
Answer:
a. x ≤ 4
Step-by-step explanation:
-5x ≥ -20
Divide by -5
-5x / (-5) ≤ -20 / (-5)
x ≤ 4
Answer:
thx for 10 points tho
Step-by-step explanation:
Answer:
x = ln(4/3)
Step-by-step explanation:
6e^x-4e^-x=5
We can subtract 5 from each side
6e^x-4e^-x -5 =5-5
6e^x-4e^-x-5=0
Multiply by e^x
e^x(6e^x-4e^-x-5)=0*e^x
Distribute
6e^2x - 4 e^0 -5e^x =0
Let m = e^x
6m^2 - 4 -5m =0
Rearrange
6m^2 -5m-4 =0
Factor
(2m+1) (3m-4)=0
Using the zero product property
2m+1 = 0 and 3m-4 =0
2m=-1 3m=4
m = -1/2 m = 4/3
Replace m with e^x
e^x = -1/2 and e^x = 4/3
But e^x cannot be negative so the first is not a solution
e^x = 4/3
Take the ln of both side
ln (e^x) = ln (4/3)
x = ln(4/3)